3893879682 has 256 divisors, whose sum is σ = 11797954560. Its totient is φ = 920678400.

The previous prime is 3893879681. The next prime is 3893879707. The reversal of 3893879682 is 2869783983.

It is a super-2 number, since 2×3893879682² = 30324597955784842248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (3893879681) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2190378 + ... + 2192154.

It is an arithmetic number, because the mean of its divisors is an integer number (46085760).

Almost surely, 2^3893879682 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3893879682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5898977280).

3893879682 is an abundant number, since it is smaller than the sum of its proper divisors (7904074878).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3893879682 is a wasteful number, since it uses less digits than its factorization.

3893879682 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1854 (or 1848 counting only the distinct ones).

The product of its digits is 31352832, while the sum is 63.

The square root of 3893879682 is about 62400.9589830156. The cubic root of 3893879682 is about 1573.2370878096.

The spelling of 3893879682 in words is "three billion, eight hundred ninety-three million, eight hundred seventy-nine thousand, six hundred eighty-two".